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Shapiro's lemma. In mathematics, especially in the areas of abstract algebra dealing with group cohomology or relative homological algebra, Shapiro's lemma, also known as the Eckmann–Shapiro lemma, relates extensions of modules over one ring to extensions over another, especially the group ring of a group and of a subgroup.
Robert J. Shapiro. Robert J. Shapiro (born 1953) is the cofounder and chairman of Sonecon, LLC, a United States private consultancy for economic and security-related issues that has built a reputation on a range of policy matters, including climate change, intellectual property, securities fraud, healthcare reform, demographics, the resilience ...
The Shapiro reaction or tosylhydrazone decomposition is an organic reaction in which a ketone or aldehyde is converted to an alkene through an intermediate hydrazone in the presence of 2 equivalents of organolithium reagent. [1] [2] [3] The reaction was discovered by Robert H. Shapiro in 1967. [4] The Shapiro reaction was used in the Nicolaou ...
Fred Shapiro. Born. ( 1954-04-19) April 19, 1954 (age 70) New York City, New York, U.S. Academic background. Education. Massachusetts Institute of Technology ( BS) Catholic University of America ( MLIS)
Shapiro was born in New Jersey. Spending his early years in New York City and New Jersey, Shapiro started his career in the early 1980s as a comedian at Catch A Rising Star on Broadway. [2] Besides performing regularly on stage, [2] throughout the 1990s he acted and starred in numerous films by Louis CK, including Tomorrow Night. [3]
Universal Genève SA is a Swiss luxury watch company, [1] founded in 1894 as Universal Watch. It is a subsidiary of Breitling SA. Since its beginnings, the company has produced complete watches with in-house movements. Along with neighboring Geneva companies Audemars Piguet, Girard-Perregaux, Patek Philippe and Rolex, Universal is ...